The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
http://www.mathsisfun.com/least-common-multiple-tool.html
To find the least common denominator (LCD) for a set of fractions, you need to determine the smallest common multiple of their denominators.
Here is how you can find the LCD for the fractions 1/3, 3/4, 5/32, and 8/9:
1. Identify the denominators of the fractions: The denominators are 3, 4, 32, and 9.
2. Find the prime factors of each denominator:
- For 3: It is already a prime number.
- For 4: The prime factors are 2 * 2.
- For 32: The prime factors are 2 * 2 * 2 * 2 * 2.
- For 9: The prime factors are 3 * 3.
3. Take the highest power of each prime factor that appears in any of the denominators. In this case, it would be:
- For 2: The highest power is 2 * 2 * 2 * 2 * 2 = 32.
- For 3: The highest power is 3 * 3 = 9.
4. Multiply the highest powers of the prime factors found in step 3 to get the LCD:
LCD = 32 * 9 = 288.
Therefore, the LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is 288.